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zysi [14]
3 years ago
10

Which graph represents the following piecewise defined function?

Mathematics
2 answers:
ss7ja [257]3 years ago
9 0

Answer:

D

Step-by-step explanation:

kenny6666 [7]3 years ago
5 0
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3


From the previous results the correct graph is the last as shown in attached graph.



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a man pays 330 each month for his gym membership what is the change in the amount of money in his account after two thirds of a
olasank [31]

\dfrac{\$330}{1\,month}\times\dfrac{12\,month}{1\,year}\times\dfrac{2}{3}\,year\\\\=\$2640

The account will have decreased by $2640 after 2/3 year.

6 0
3 years ago
The points in the table lie on a line. Find the slope of the line
NikAS [45]

Answer:

4

Step-by-step explanation:

(y2-y1)/(x2-x1)=m

(10-2)/(3-1)

8/2

m=4

3 0
2 years ago
Assume the parent function has been shifted up
mars1129 [50]

Answer:

If y=(x-2)^2+4 is the transformed function, then the parent function y=x^2 has been shifted up vertically by 4 units and horizontally right by 2 units

Step-by-step explanation:

Assume the function is y=f(x) is the parent function.

A vertical shift,b units up  will transform the function to y=f(x)+b .

A horizontal shift a units.

y=f(x-a)+b

For instance, if y=x^2, b=4, and a=2 units.  

Then the transformed function becomes:

y=(x-2)^2+4

6 0
2 years ago
Read 2 more answers
Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17
Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}

It can be rewritten as

\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}     .... (1)

We know that,

\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}          ... (2)

Using (1) and (2) we get

\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}

Substitute total debt ratio=0.46 in the above equation.

0.46=1-\dfrac{1}{\text{Equity multiplier}}

0.46-1=-\dfrac{1}{\text{Equity multiplier}}

-0.54=-\dfrac{1}{\text{Equity multiplier}}

\text{Equity multiplier}=-\dfrac{1}{-0.54}

\text{Equity multiplier}=1.85185185

\text{Equity multiplier}\approx 1.85

Therefore, the correct option is D.

7 0
3 years ago
A wireless company offers two cell phone plans. For the month of September, Plan A charges $35 plus $0.25 per minute for calls.
valentina_108 [34]

Answer:

60 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

For Plan A

Plan A charges $35 plus $0.25 per minute for calls.

$35 + $0.25 × x

35 + 0.25x

For Plan B

Plan B charges $20 plus $0.50 per minute for calls.

$20 + $0.50 × x

20 + 0.50x

For what number of minutes do both plans cost the same amount?

This is calculated by equating Plan A to Plan B

Plan A = Plan B

35 + 0.25x = 20 + 0.50x

Collect like terms

35 - 20 = 0.50x - 0.25x

15 = 0.25x

x = 15/0.25

x = 60 minutes.

Hence, the number of minutes that both plans cost the same amount is 60 minutes

7 0
2 years ago
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